MARIA SCHONBEK Professor of Mathematics Licenciatura, University of Buenos Aires Ph.D., University of Michigan Publications My Page

Phone: 831-459-4657 Office: Baskin 353A Office Hours: By Appt. Email: schonbek@ucsc.edu

RESEARCH INTERESTS

Maria Schonbek's research focuses on non-linear partial differential equations derived from models in fluid dynamics. The primary questions she is concerned with are related to the qualitative behavior of solutions, specifically questions concerning long-time behavior of solutions.

Understanding the behavior of solutions to equations for physical models is a first step in understanding the behavior of the world we live in.

In her research, Professor Schonbek has tried to make interdisciplinary connections since she believes that such work is fundamental to the progress of science.

SELECTED PUBLICATIONS    (complete list)

M. Schonbek: Estimates for the pressure and the Fourier transform of solutions and derivatives to the Navier-Stokes equations. Forthcoming.

M. Cannone, F. Planchon, and M. Schonbek: Solutions to the incompressible Navier-Stokes equations in the half space. Submitted.

Malek, Necas, Pocorny and Schonbek: On the possible singular solutions to the Navier-Stokes equations. Mathematische Nachrichten (1999), 97-114.

M. Schonbek and G. K. Vallis: Energy decay of solutions of the Planetary geostrophic equations. Accepted for publication JMAA (1999).

M. Schonbek, T. Schonbek, and E. Suli: Large-time behavior of solutions to the Magneto Hydrodynamics equations. Mathematische Annalen 304 (1996) 717-756

M. Schonbek: Asymptotic behavior of solutions to the three-dimensional Navier-Stokes equations. Indiana Univ. J. 41(2) (1992).

M. Schonbek: Lower bounds of decay rates for solutions to the Navier-Stokes equations. J. Amer. Math. Soc. 4(3):423Ð449, (1991).

M. Schonbek and T. P. Schonbek: On the boundedness and decay of moments of solutions to the Navier-Stokes equations. Submitted.

M. Schonbek, J. Bona, and B. Amick: Decay of solutions of some nonlinear wave equations. J. Differential Equations 81(1):1Ð49, (1989).

M. Schonbek: L2 decay for weak solutions of the Navier-Stokes equations. Arch. Rational Mech. 88 (3):209Ð222, (1986).

M. Schonbek: Large-time behavior of solutions to the Navier-Stokes equations. Comm. Partial Differential Equations 11(7):733Ð763, (1986).

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